All about Shapes

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All about Shapes
Ask Boffin!
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Properties of Shapes

• Number of sides
• Number of angles
• Number of lines of symmetry
• Regular or irregular
• Right Angles
• Parallel lines

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Shapes
Triangles
Quadrilaterals
Polygons
Regular Shapes
Key Words
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Quadrilaterals
Shapes with 4 sides!
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What shape is this?
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A Square
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How many lines of symmetry has a Square got?
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Properties of a Square

• Has 4 equal sides
• Has 4 equal angles
• Each angle is a right angle
• Has 4 lines of symmetry
• Is a regular shape

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What shape is this?
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A Rectangle
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How many lines of symmetry has a Rectangle got?
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Properties of a Rectangle

• Has 2 pairs of equal sides
• Has 4 equal angles
• Each angle is a right angle
• Has 2 lines of symmetry
• Is an irregular shape

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What shape is this?
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A Parallelogram
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How many lines of symmetry has a Parallelogram
got?
None!
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Properties of a Parallelogram

• Has 2 pairs of equal sides
• Has 2 pairs of equal angles
• Opposite sides are parallel
• Has NO lines of symmetry
• Is an irregular shape

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What shape is this?
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A Rhombus
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How many lines of symmetry has a Rhombus got?
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Properties of a Rhombus

• Has 4 equal sides
• Has 2 pairs of equal angles
• Opposite sides are parallel
• Has 2 lines of symmetry
• Is an irregular shape

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What shape is this?
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A Trapezium
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How many lines of symmetry has a Trapezium got?
None!
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How many lines of symmetry has thisTrapezium got?
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Properties of a Trapezium

• Has unequal sides
• One pair of opposite sides are parallel
• Usually has NO lines of symmetry
• Is an irregular shape

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What shape is this?
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A Kite
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How many lines of symmetry has a Kite got?
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Properties of a Kite

• Has 2 pairs of equal sides
• Has 1 pair of equal angles
• Equal sides are adjacent
• Has 1 line of symmetry
• Is an irregular shape

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Quadrilaterals
Shapes with 4 sides!
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Triangles
Shapes with 3 sides!
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What type of triangle is this?
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An Equilateral Triangle
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How many lines of symmetry has an Equilateral
Triangle got?
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Properties of an Equilateral Triangle

• Has 3 equal sides
• Has 3 equal angles
• Each angle is a 60o angle
• Has 3 lines of symmetry
• Is a regular shape

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What type of triangle is this?
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An Isosceles Triangle
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How many lines of symmetry has an Isosceles
Triangle got?
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Properties of an Isosceles Triangle

• Has 2 equal sides
• Has 2 equal angles
• Has 1 line of symmetry
• Is an irregular shape

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What type of triangle is this?
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A Scalene Triangle
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How many lines of symmetry has a Scalene Triangle
got?
None!
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Properties of an Scalene Triangle

• Has NO equal sides
• Has NO equal angles
• Has NO lines of symmetry
• Is an irregular shape

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What type of triangle is this?
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A Right Angled Triangle
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A Right Angled Triangle is different
But it always has a right angle!
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Properties of a Right Angled Triangle

• Has 1 right angle
• May be an isosceles triangle
• May have 1 line of symmetry
• Is an irregular shape

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Triangles
Shapes with 3 sides!
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Key Words

• Regular Shape

• Parallel

• Perpendicular

• Vertex

• Diagonal

• Bisect

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Regular Shape
Shapes are regular when

• All their sides are the same length

• All their angles are the same size

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Parallel
Lines are parallel
when they are always the same distance apart.
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Perpendicular
Lines are perpendicular
when they meet at right angles.
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Vertex
A Vertex is a corner of a shape where two lines
meet.
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Diagonal
A Diagonal is a straight line that joins one
corner (vertex) of a shape to a non adjacent
corner (vertex)
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Bisect
A line that cuts a shape exactly in half, Bisects
the shape
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Key Words

• Regular Shape

• Parallel

• Perpendicular

• Vertex

• Diagonal

• Bisect

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Polygons
Shapes with many sides!
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What shape is this?
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A Hexagon
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How many lines of symmetry has a Hexagon?
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Properties of a Regular Hexagon

• Has 6 equal sides
• Has 6 equal angles
• Has 6 lines of symmetry

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What shape is this?
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A Pentagon
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How many lines of symmetry has a Pentagon?
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Properties of a Regular Pentagon

• Has 5 equal sides
• Has 5 equal angles
• Has 5 lines of symmetry

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Polygons
Shapes with many sides!
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Lines of Symmetry - Look at these shapes
Can you suggest a rule?
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Regular shapes

• All the sides are the same length

• All the angles are equal

• Have the same number of lines of

symmetry as the number of sides
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Look at these shapes
Heptagon
Octagon
How many lines of symmetry?
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Lines of symmetry
Heptagon
Octagon
7
8
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Lines of symmetry
Heptagon
Octagon
7
8